Let x be unknown number. If number x is multiplied by [tex]-\dfrac{2}{3}[/tex] and the product is equal to [tex]\dfrac{3}{4},[/tex] then
[tex]x\cdot \left(-\dfrac{2}{3}\right)=\dfrac{3}{4}.[/tex]
To find x you should divide [tex]\dfrac{3}{4}[/tex] by [tex]-\dfrac{2}{3}:[/tex]
[tex]x=\dfrac{\dfrac{3}{4}}{-\dfrac{2}{3}}=\dfrac{3}{4}\cdot \left(-\dfrac{3}{2}\right)=-\dfrac{3\cdot 3}{4\cdot 2}=-\dfrac{9}{8}.[/tex]
Answer: [tex]x=-\dfrac{9}{8}[/tex]
